Adler-Kostant-Symes systems as Lagrangian gauge theories

Details Adler-Kostant-Symes systems as Lagrangian gauge theories Adler-Kostant-Symes systems as Lagrangian gauge theories

2002-02-22

arxiv.org/abs/math-ph/0202033v1

Phys.Lett. A301 (2002) 58-64

Physics

Mathematical Physics

10 pages, LaTeX2e

Scientific paper

It is well known that the integrable Hamiltonian systems defined by the Adler-Kostant-Symes construction correspond via Hamiltonian reduction to systems on cotangent bundles of Lie groups. Generalizing previous results on Toda systems, here a Lagrangian version of the reduction procedure is exhibited for those cases for which the underlying Lie algebra admits an invariant scalar product. This is achieved by constructing a Lagrangian with gauge symmetry in such a way that, by means of the Dirac algorithm, this Lagrangian reproduces the Adler-Kostant-Symes system whose Hamiltonian is the quadratic form associated with the scalar product on the Lie algebra.

Affiliated with

Also associated with

No associations

Rating

Adler-Kostant-Symes systems as Lagrangian gauge theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Adler-Kostant-Symes systems as Lagrangian gauge theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Adler-Kostant-Symes systems as Lagrangian gauge theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-339596